The convergence of finite quadrangulations towards the uipq [1]}, together with [2]}, ensures that
\(\mathbb {P}(\mathcal {H}^\text{tr}_{Q_\infty }(r) = H) = \frac{\kappa _q}{\kappa _1} 12^{q-|H|-1} = \frac{\kappa _q}{\kappa _1} \prod _{e \in \mathcal {F}^*} 12^{-|M_e|+1} .\) 
